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3 Equations Turn a Circuit Into Two Storms
Chaos & dynamics

3 Equations Turn a Circuit Into Two Storms

BEHIND THE WORK

Can an electrical circuit draw two storms in 3D?

Chua's circuit uses two capacitor voltages and one inductor current. A piecewise nonlinear resistor repeatedly pushes one moving state between two unstable regions, producing the double-scroll attractor shown here. The complete system and starting point appear in the video.

Artismathic turns equations into visual art—one function at a time.

Music: 'The Beast Within' by The Soundings

#MathArt #ChaosTheory #ChuasCircuit

THE MATHEMATICAL RULE

h(x)=−0.714xh(x) = −0.714x−0.2145(∣x+1∣−∣x−1∣) − 0.2145(|x + 1| − |x − 1|)dx/dt=15.6[y−x−h(x)]dx/dt = 15.6[y − x − h(x)]dy/dt=x−y+zdy/dt = x − y + zdz/dt=−28ydz/dt = −28ystart:(x,y,z)=(0.7,0,0)start: (x, y, z) = (0.7, 0, 0)
Watch the drawing↗

WATCH IT COME TO LIFE

Watch the drawing

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